The town of Springville is mapped on a coordinate grid with
the origin being at City Hall. John's house is located at the
point (-5, 7) and Bill's house is located at (-2,3). How far is it
from John's house to Billy's house?

Answers

Answer 1

Answer:

The distance from John's house to Bill's house is 5 units

Step-by-step explanation:

John's house is located at the point (-5,7) and Bill's house is located at (-2,3) in a map of the town of Springville.

We need to find the distance from John's house to Bill's house. We use the formula of the distance between two points:

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(w-x)^2+(z-y)^2}[/tex]

Applying the formula:

[tex]d=\sqrt{(-2+5)^2+(3-7)^2}[/tex]

[tex]d=\sqrt{3^2+4^2}[/tex]

[tex]d=\sqrt{9+16}=\sqrt{25}[/tex]

d=5

The distance from John's house to Bill's house is 5 units


Related Questions

x+2x+4=5x-8 pls show me how to do this step by step because I wan t to learn how to solve it

Answers

Answer:

x=X/3+4

Step-by-step explanation:

Help ASAP) Describe the transformation that takes f(x) = x + 1 to g (x) = -x + 4​

Answers

Step-by-step explanation:

[tex]if \: f(x) = x + 1 \iff \: g(x) = - x + 4 \\ the \: transformations \: that \: took \: place \: are : \\ both : \\ translational \: transformation \\ reflectional \: transformation \\ \\ the \: fuction : f(x) = x + 1 \: is \: translated \: \\ \: verticaly \: by : 3 \: in \: the \: positive \: y - axis \: \\ to \: be : g(x) = x + 4\\ \\ while \\ \\ the \: fuction : f( - x) = - x + 1 \: is \: mirrored \: \\ \: verticaly \: by : - x \: in \: the \: positive \: y - axis \: \\ to \: be : g(x) = - x \\ \\ therefore \: both \: transformation \: results \: to : \\ f( x) = x + 1 \iff \: g(x) = - x + 4[/tex]

♨Rage♨

A translation of (x-2, y+3) means

Answers

Answer:

The number in the x place went left two units and the number in the y place went up 3 units.

Step-by-step explanation:

I hope this helps, if it does... may I be brainliest???

*
Find the value of z.
D
B
50°
N
x
G
A
С
E
F
H

Answers

Answer:

120

Step-by-step explanation:

What is the equivalent decimal for 2.200

Answers

9514 1404 393

Answer:

  2.2, 2.20, 2.2000, 2.20000, ...

Step-by-step explanation:

Any decimal number with more or fewer trailing zeros will be equivalent. Some are ...

  2.2, 2.20, 2.2000, 2.20000

__

These "equivalents" have the same value, but differing numbers of significant digits. If significant digits are important, the given form is the one you want.

[tex]\tt Step-by-step~explanation:[/tex]

Let’s go through several different solutions.

[tex]\tt Simplified:[/tex]

You can just take away two zeros at the end. You will get 2.2.

[tex]\tt Fractions:[/tex]

0.2 is equal to 2/10 or 1/5, so another solution would be 2 1/5.

You can also multiply 5 by 2 and add 1 to get another solution: 11/5.

[tex]\Large\boxed{\tt Our~final~answers:\underline{2.2},~2\frac{1}{5},~\frac{11}{5} }[/tex]

*Underlined: What you needed: decimal

A light bulb factory produces 1,409 light bulbs every hour. Approximately 1.36% of the light bulbs are defective, and do not work. Using the binomial distribution, what is the standard deviation of the number of defective bulbs produced in an hour

Answers

Answer:

The value is  [tex]\sigma = 4.35[/tex]

Step-by-step explanation:

From the question we are told that

  The number of light bulbs produce every hour is  n  =  1409

   The proportion of light bulbs that are defective is  [tex]p = 0.0136[/tex]

Generally from the question we are told to use binomial distribution hence the standard deviation of the number of defective bulbs produced in an hour is  mathematically represented as

        [tex]\sigma = \sqrt{n * p * (1- p )}[/tex]

=>     [tex]\sigma = \sqrt{1409 * 0.0136 * (1 - 0.0136 )}[/tex]

=>     [tex]\sigma = 4.35[/tex]

find the rate of change (-3,4)(2,-3)​

Answers

Answer:

negative rate of change

HELP THI IS DUE TODAY

Answers

The answer is B

I hope this was helpful!

Dan, Eric, and Frank are the leading scorers on their basketball team. Over the course of their high school careers, Dan scored 6/10 of the points that the three boys scored.
If Eric scored 7/10 of the remaining points and Frank scored 120 points, how many points did Dan score?

40 points

280 points

600 points

1,000 points

Answers

Answer: 600

Step-by-step explanation:

First, let's define our variables for this problem:

D = # of points that Dan scored.

E = # of points that Eric scored.

F = #of points that Frank scored.

We know that:

"Dan scored 6/10 of the points that the three boys scored."

D = (6/10)*(D + E + F)

"Eric scored 7/10 of the remaining"

In this case, the remaining refers to  (1 - (6/10))*(D + E + F) = (4/10)(D + E + F)

Then:

E = (7/10)*(4/10)*(D + E + F)

And we also know that:

F = 120

Then we have a system of 3 equations:

D = (6/10)*(D + E + F)

E = (7/10)*(4/10)*(D + E + F) = (28/100)*(D + E + F)

F = 120

To solve this, the first step is try to reduce the number of variables, then we can just replace the 3rd equation into the other two:

D = (6/10)*(D + E + 120)

E = (28/100)*(D + E + 120)

Now let's try to isolate the variable E in the second equation:

E = (28/100)*D + (28/100)*E + 36.6

E - (28/100)*E = (28/100)*D + 36.6

E( 1 - 28/100) = (28/100)*D + 36.6

E*(72/100) = (28/100)*D + 36.6

E = (100/72)*((28/100)*D + 36.6) = (28/72)*D + 46.666...

Now let's replace this in the other equation:

D = (6/10)*(D + 120 + (28/72)*D + 46.666...)

Let's solve this for D.

D = (6/10)*(D*(100/72) + 166.666)  = 100 + D*(47/72)*(6/10)

D -  D*(100/72)*(6/10) = 100

D*(1- (100/72)*(6/10) ) = 100

D = 100/((1- (100/72)*(6/10) ) = 600

Dan scored 600 points

How to write 3 hundredths

Answers

Answer:

3/100

0.03

Step-by-step explanation:

Answer:

So If it is a decimal it is .03 and if it is a fraction 3/100

Step-by-step explanation:

So when it's asking you to find the hundredths you place your decimal point to the left 2 places and when you have a fraction you place the hundred over the number.

1.
What number does 2,000 + 900 + 50 + 8 represent?
29,058
2,958
20,958
2,985

Answers

Answer:

2,958

Step-by-step explanation:

2,000+900=2,900 2,900+50=2,950 2,950+8=2,958

Simplify this expression plss​

Answers

Answer:

-6 - 3d

Step-by-step explanation:

-6 + (-2d) + (-4d) + 3d

-6 - 2d - 4d + 3d

-6 - 6d + 3d

-6 - 3d

HELP ME PLEASE IM SO MAD UGHH

Answers

Answer:

y= up 5 over 10 x+40

Step-by-step explanation:

Answer:

slope is 1/2

Step-by-step explanation:

it rises 1 and runs 2

If y = 252, solve for x

y=9x

Answers

Answer:

x = 28

Step-by-step explanation:

If y = 252, solve for x

y = 9x

252 = 9x

x = 28

What is the quotient in the simplest form? A 15/64. B15/16. C 2/25. D 2/820. please help ​

Answers

What is the quotient in question ?

How can 33/9 be expressed as a decimal

Answers

Answer:

3.6

Step-by-step explanation:

Answer:3.6

Step-by-step explanation:

I honestly don’t feel like putting down how I did it lol sorry

The drama club sold $779 worth of tickets to the school play. Student tickets cost $3 apiece and tickets for everyone else cost $5 each. What equation relates the number of student tickets that were sold, s, and the number of other tickets that were sold, t, written in standard form?

Answers

Step-by-step explanation: So the answer would be 3s + 5t = 779

Answer: Students sold 253 tickets

Other tickets sold 4 tickets

Step-by-step explanation:

WORTH 40 POINTS!! Which equations represent a proportional relationship?

Answers

Answer:

I believe B is the only one that is proportional. I'm sorry if i am wrong

Step-by-step explanation:

The answer Is c I know

What is the correct order for the moon phrases.

Answers

This is the correct order, it starts at new until it goes to full.

Answer:

New moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full moon, Waning Gibbous, Last Quarter, and finally Waning Crescent.

Step-by-step explanation:

I HOPE THIS HELPS.

THANK U!

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The
profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit
of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents
Sal's profits last month, where x is the number of sandwich lunch specials sold and
y is the number of wrap lunch specials sold. describe how you would graph this line using the slope-intercept method. be sure to write using complete sentences

Answers

Answer:

y=-3/2x+745

Step-by-step explanation:

so u you convert standard form to slope intercept which would be y=-3/2x+745  the y intercept is 745 and the slope (rise over run is the -3/2).

Answer:

1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y. 

2x+3y=1470

2x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)

3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)

3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal) 

So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.

2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point. 

.3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases

5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.

Step-by-step explanation:

This is due today please help im stuck on this question

Answers

-320 is the answer to your mathematical problem

The square below represents one whole.
What percent is represented by the shaded area?

Answers

Answer: 40%

Step-by-step explanation:

The shaded area represents 4/10 if you multiply the top and bottom by 10 you should get 40/100 which gives you 40% since percents are on a scale from 1 to 100.

Find the distance between the points (9,0) and (1,6).

Answers

Answer:

7,4

Step-by-step explanation:

If you are trying to find the distance between the two points, you can subtract 1,6 from 9,0.

Hello :-) just need help on solving this one
1/3(k-9)=1/3k+1/3

Answers

Answer:

There are no solutions to that.

8(2w - 2) = 7(3w + 2)

Answers

Answer:

Solution

Solution

=-6

Step-by-step explanation:

should be correct.. I hope.

How many fifths are there in
8 3/5​

Answers

Answer:

43 fifths

Step-by-step explanation:

8 x 5 = 40

40 + 3 = 43

Answer: 43

Step-by-step explanation:

Find three consecutive odd integers such that the sum of twice the largest and the smallest is
101.

Answers

Answer:

The sum of any set of consecutive odd numbers starting with 1 is always equal to the square of the number of digits that were added together. Sum of first two odd numbers = 1 + 3 = 4 (= 2 x 2). Sum of first three odd numbers = 1 + 3 + 5 = 9 (= 3 x 3). Sum of first four odd numbers = 1 + 3 + 5 + 7 = 16 (= 4 x 4).

Step-by-step explanation:

[tex]hii[/tex]

hope this helps you ✌️

Question 13 FUNDRAISER Owen is organizing a fundraiser. The proceeds will be split between a charity and the expenses from the fundraiser. Owen would like the cost of the fundraiser to be 15% of the proceeds. If the fundraiser will cost $500, how much money do they need to raise at the fundraiser? ​

Answers

Answer:

The amount to be raised at the fund raiser is $3,333.33

Step-by-step explanation:

Here, we want to know the amount of money needed to be raised for the fundraiser

Let the amount raised be $x

Thus;

15% of $x = $500

$500 is the cost of the fund raiser

15/100 * x = 500

15x/100 = 500

15x = (100 * 500)

x = (100 * 500)/15

x = 3,333.33

Mallorie has $12 in her wallet. If this is 20% of her monthly allowance, what is her monthly allowance? Use any strategy to solve.

Answers

Answer:

55

Step-by-step explanation:

WRONG ANSWER I WANT THE RIGHT ANSWER

If 2 5/8 pounds of a certain candy cost $6, how much pounds of the candy can be purchased for $12?

Answers

Answer:

5 1/4 pounds can be purchased for $12 dollars

Step-by-step explanation:

$6 x 2 = $12

So:

2 5/8 x 2 = ?

21/8 x 2/1 = 48/8 = 5 1/4

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